102012012200 has 144 divisors (see below), whose sum is σ = 292130794620. Its totient is φ = 32918108160.

The previous prime is 102012012199. The next prime is 102012012227. The reversal of 102012012200 is 2210210201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 80126360356 + 21885651844 = 283066^2 + 147938^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 139559 + ... + 472758.

Almost surely, 2^102012012200 is an apocalyptic number.

102012012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102012012200 is an abundant number, since it is smaller than the sum of its proper divisors (190118782420).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102012012200 is a wasteful number, since it uses less digits than its factorization.

102012012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612364 (or 612348 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102012012200 its reverse (2210210201), we get a palindrome (104222222401).

The spelling of 102012012200 in words is "one hundred two billion, twelve million, twelve thousand, two hundred".